Packages

  • package root
    Definition Classes
    root
  • package provingground

    This is work towards automated theorem proving based on learning, using homotopy type theory (HoTT) as foundations and natural language processing.

    This is work towards automated theorem proving based on learning, using homotopy type theory (HoTT) as foundations and natural language processing.

    The implementation of homotopy type theory is split into:

    • the object HoTT with terms, types, functions and dependent functions, pairs etc
    • the package induction with general inductive types and recursion/induction on these.

    The learning package has the code for learning.

    Scala code, including the spire library, is integrated with homotopy type theory in the scalahott package

    We have implemented a functor based approach to translation in the translation package, used for nlp as well as serialization and parsing.

    The library package is contains basic structures implemented in HoTT.

    Definition Classes
    root
  • package learning
    Definition Classes
    provingground
  • object FiniteDistributionLearner

    A combinator for learning systems with state finite distributions on vertices.

    A combinator for learning systems with state finite distributions on vertices. Systems are built from components labeled by elements of a set M. The state also has weights for these components. The components are built from: moves (partial functions), partial combinations and islands.

    Definition Classes
    learning
  • Atom
  • CombinationFn
  • Evaluate
  • ExtendM
  • MoveFn
  • NewVertex
  • NormalizeFD
  • ProjectV
  • PtwiseProd
  • Sample

case class Sample[X](N: Double) extends FormalExtension[FiniteDistribution[X]] with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, FormalExtension[FiniteDistribution[X]], AdjDiffbleFunction[FiniteDistribution[X], FiniteDistribution[X]], AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Sample
  2. Serializable
  3. Product
  4. Equals
  5. FormalExtension
  6. AdjDiffbleFunction
  7. AnyRef
  8. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new Sample(N: Double)

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def **:(that: (FiniteDistribution[X]) => FiniteDistribution[X]): (FiniteDistribution[X]) => FiniteDistribution[X]

    post-compose by the gradient of this, for instance for a feedback.

    post-compose by the gradient of this, for instance for a feedback.

    Definition Classes
    AdjDiffbleFunction
  4. def *:[C](that: => AdjDiffbleFunction[FiniteDistribution[X], C]): AdjDiffbleFunction[FiniteDistribution[X], C]

    Composition f *: g is f(g(_))

    Composition f *: g is f(g(_))

    Definition Classes
    AdjDiffbleFunction
  5. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from Sample[X] toany2stringadd[Sample[X]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  6. def ->[B](y: B): (Sample[X], B)
    Implicit
    This member is added by an implicit conversion from Sample[X] toArrowAssoc[Sample[X]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  7. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  8. val N: Double
  9. def ^:(that: (FiniteDistribution[X]) => FiniteDistribution[X]): (FiniteDistribution[X]) => FiniteDistribution[X]

    Conjugate that by this.

    Conjugate that by this.

    Definition Classes
    AdjDiffbleFunction
  10. val adjDer: (FiniteDistribution[X]) => (FiniteDistribution[X]) => FiniteDistribution[X]
    Definition Classes
    FormalExtension → AdjDiffbleFunction
  11. def andthen[C](that: => AdjDiffbleFunction[FiniteDistribution[X], C]): AdjDiffbleFunction[FiniteDistribution[X], C]
    Definition Classes
    AdjDiffbleFunction
  12. def apply(a: FiniteDistribution[X]): FiniteDistribution[X]
    Definition Classes
    AdjDiffbleFunction
  13. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  14. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  15. def ensuring(cond: (Sample[X]) => Boolean, msg: => Any): Sample[X]
    Implicit
    This member is added by an implicit conversion from Sample[X] toEnsuring[Sample[X]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: (Sample[X]) => Boolean): Sample[X]
    Implicit
    This member is added by an implicit conversion from Sample[X] toEnsuring[Sample[X]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean, msg: => Any): Sample[X]
    Implicit
    This member is added by an implicit conversion from Sample[X] toEnsuring[Sample[X]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: Boolean): Sample[X]
    Implicit
    This member is added by an implicit conversion from Sample[X] toEnsuring[Sample[X]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from Sample[X] toStringFormat[Sample[X]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  21. val func: (FiniteDistribution[X]) => FiniteDistribution[X]
    Definition Classes
    Sample → FormalExtension → AdjDiffbleFunction
  22. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  23. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  24. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  25. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  26. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  27. def oplus[C, D](that: AdjDiffbleFunction[C, D]): Oplus[FiniteDistribution[X], FiniteDistribution[X], C, D]
    Definition Classes
    AdjDiffbleFunction
  28. def productElementNames: Iterator[String]
    Definition Classes
    Product
  29. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  30. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  31. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  32. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated
  2. def →[B](y: B): (Sample[X], B)
    Implicit
    This member is added by an implicit conversion from Sample[X] toArrowAssoc[Sample[X]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from FormalExtension[FiniteDistribution[X]]

Inherited from AdjDiffbleFunction[FiniteDistribution[X], FiniteDistribution[X]]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromSample[X] to any2stringadd[Sample[X]]

Inherited by implicit conversion StringFormat fromSample[X] to StringFormat[Sample[X]]

Inherited by implicit conversion Ensuring fromSample[X] to Ensuring[Sample[X]]

Inherited by implicit conversion ArrowAssoc fromSample[X] to ArrowAssoc[Sample[X]]

Ungrouped